Question

parallel lines r and s are cut by two transversals, parallel lines t and u. which angles are alternate exterior angles with ∠11? ∠7 and ∠15 ∠5 and ∠13 ∠6 and ∠16 ∠8 and ∠14

Explanation:

Alternate exterior angles are pairs of angles that lie outside the two parallel lines and on opposite sides of the transversal.

• For \( \angle11 \), when considering the transversal \( u \) and the parallel lines \( s \) and \( r \), \( \angle7 \) is outside the parallel lines \( s \) and \( r \) and on the opposite side of the transversal \( t \) (relative to \( \angle11 \) with respect to transversal \( u \)).
• When considering the transversal \( u \) and the parallel lines \( t \) and \( u \) (the other set of parallel lines in the cross - cut), \( \angle15 \) is outside the parallel lines \( t \) and \( u \) and on the opposite side of the transversal \( r \) (relative to \( \angle11 \)).

Answer:

\(\angle7\) and \(\angle15\)